221202011121 has 64 divisors (see below), whose sum is σ = 374199436800. Its totient is φ = 113101111296.

The previous prime is 221202011081. The next prime is 221202011161. The reversal of 221202011121 is 121110202122.

221202011121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221202011081) and next prime (221202011161).

It is not a de Polignac number, because 221202011121 - 2⁶ = 221202011057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221202011121.

It is not an unprimeable number, because it can be changed into a prime (221202011161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2676465 + ... + 2757873.

It is an arithmetic number, because the mean of its divisors is an integer number (5846866200).

Almost surely, 2^221202011121 is an apocalyptic number.

221202011121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221202011121 is a deficient number, since it is larger than the sum of its proper divisors (152997425679).

221202011121 is a wasteful number, since it uses less digits than its factorization.

221202011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81738.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221202011121 its reverse (121110202122), we get a palindrome (342312213243).

The spelling of 221202011121 in words is "two hundred twenty-one billion, two hundred two million, eleven thousand, one hundred twenty-one".